{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Variational Quantum Eigensolver"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The aim of the task is to find the lowest eigenvalue of the following unitary matrix\n",
    "\n",
    "$$\n",
    "\\left(\\begin{array}{cccccccc}\n",
    "0 & \\sqrt{2}A & \\sqrt{2}A & 0 & 0 & 0 & 1 & 1\\\\\n",
    "\\sqrt{2}A & 0 & 0 & 0 & \\sqrt{2} & 0 & 0 & 0\\\\\n",
    "\\sqrt{2}A & 0 & 0 & 0 & 0 & \\sqrt{2} & 0 & 0\\\\\n",
    "0 & 0 & 0 & 2\\Delta & 0 & 0 & 1 & 1\\\\\n",
    "0 & \\sqrt{2} & 0 & 0 & \\Delta & 0 & A & 0\\\\\n",
    "0 & 0 & \\sqrt{2} & 0 & 0 & \\Delta & 0 & A\\\\\n",
    "1 & 0 & 0 & 1 & A & 0 & \\Delta & 0\\\\\n",
    "1 & 0 & 0 & 1 & 0 & A & 0 & \\Delta\n",
    "\\end{array}\\right)\n",
    "$$\n",
    "\n",
    "using VQE-like circuits. In order to do so, one must find a decomposition of the unitary $U$ in terms of Pauli operators $\\{I, X, Y, Z\\}$:\n",
    "\n",
    "$$\n",
    "I =\n",
    "\\begin{bmatrix}\n",
    "1 & 0  \\\\\n",
    "0 & 1\n",
    "\\end{bmatrix}\\quad\n",
    "\n",
    "X =\n",
    "\\begin{bmatrix}\n",
    "0 & 1 \\\\\n",
    "1& 0\n",
    "\\end{bmatrix}\\quad\n",
    "\n",
    "Y =\n",
    "\\begin{bmatrix}\n",
    "0 & -i \\\\\n",
    "i & 0\n",
    "\\end{bmatrix}\\quad\n",
    "\n",
    "Z =\n",
    "\\begin{bmatrix}\n",
    "1 & 0 \\\\\n",
    "0 & -1\n",
    "\\end{bmatrix}\n",
    "$$\n",
    "\n",
    "in order to be implemented on a quantum computer. In particular, since we are dealing with a $8\\times8$ matrix, three qubits are needed, thus the desired decomposition will be made of *tensor products* of three Pauli operators (e.g. $X_1 \\otimes Y_2 \\otimes Z_3$, where the subscript denotes the system on which the operator acts).\n",
    "\n",
    "### Decomposition in terms of Pauli operators\n",
    "\n",
    "\n",
    "By calculation, it can be decomposed as follows: \n",
    "\n",
    "$$\n",
    "U = \\frac{A \\text{$\\sigma $i}\\otimes \\text{$\\sigma $x}\\otimes \\text{$\\sigma $z}}{2 \\sqrt{2}}+\\frac{A \\text{$\\sigma $i}\\otimes \\text{$\\sigma $z}\\otimes \\text{$\\sigma $x}}{2\n",
    "   \\sqrt{2}}+\\frac{A \\text{$\\sigma $z}\\otimes \\text{$\\sigma $i}\\otimes \\text{$\\sigma $x}}{2 \\sqrt{2}}\\\\\n",
    "   +\\left(\\frac{A}{2 \\sqrt{2}}-\\frac{A}{2}\\right) \\text{$\\sigma $z}\\otimes\n",
    "   \\text{$\\sigma $x}\\otimes \\text{$\\sigma $i}+\\frac{A \\text{$\\sigma $i}\\otimes \\text{$\\sigma $i}\\otimes \\text{$\\sigma $x}}{2 \\sqrt{2}}+\\left(\\frac{A}{2\n",
    "   \\sqrt{2}}+\\frac{A}{2}\\right) \\text{$\\sigma $i}\\otimes \\text{$\\sigma $x}\\otimes \\text{$\\sigma $i}\\\\\n",
    "   +\\frac{A \\text{$\\sigma $z}\\otimes \\text{$\\sigma $x}\\otimes \\text{$\\sigma\n",
    "   $z}}{2 \\sqrt{2}}+\\frac{A \\text{$\\sigma $z}\\otimes \\text{$\\sigma $z}\\otimes \\text{$\\sigma $x}}{2 \\sqrt{2}}-\\frac{1}{4} \\Delta  \\text{$\\sigma $i}\\otimes \\text{$\\sigma\n",
    "   $i}\\otimes \\text{$\\sigma $z}-\\frac{1}{4} \\Delta  \\text{$\\sigma $i}\\otimes \\text{$\\sigma $z}\\otimes \\text{$\\sigma $i}\\\\\n",
    "   +\\frac{1}{4} \\Delta  \\text{$\\sigma $i}\\otimes\n",
    "   \\text{$\\sigma $z}\\otimes \\text{$\\sigma $z}-\\frac{1}{4} \\Delta  \\text{$\\sigma $z}\\otimes \\text{$\\sigma $i}\\otimes \\text{$\\sigma $i}-\\frac{1}{4} \\Delta  \\text{$\\sigma\n",
    "   $z}\\otimes \\text{$\\sigma $i}\\otimes \\text{$\\sigma $z}\\\\\n",
    "   -\\frac{1}{4} \\Delta  \\text{$\\sigma $z}\\otimes \\text{$\\sigma $z}\\otimes \\text{$\\sigma $i}+\\\\\n",
    "   \\frac{3}{4} \\Delta \n",
    "   \\text{$\\sigma $i}\\otimes \\text{$\\sigma $i}\\otimes \\text{$\\sigma $i}+\\frac{1}{4} \\Delta  \\text{$\\sigma $z}\\otimes \\text{$\\sigma $z}\\otimes \\text{$\\sigma\n",
    "   $z}-\\frac{\\text{$\\sigma $x}\\otimes \\text{$\\sigma $i}\\otimes \\text{$\\sigma $z}}{4}\\\\\n",
    "   -\\frac{\\text{$\\sigma $x}\\otimes \\text{$\\sigma $z}\\otimes \\text{$\\sigma\n",
    "   $i}}{4}+\\frac{\\text{$\\sigma $x}\\otimes \\text{$\\sigma $i}\\otimes \\text{$\\sigma $i}}{4}+\\left(\\frac{1}{4}+\\frac{1}{2 \\sqrt{2}}\\right) \\text{$\\sigma $x}\\otimes \\text{$\\sigma\n",
    "   $i}\\otimes \\text{$\\sigma $x}\\\\\n",
    "   +\\frac{\\text{$\\sigma $x}\\otimes \\text{$\\sigma $x}\\otimes \\text{$\\sigma $i}}{4}+\\left(\\frac{1}{4}+\\frac{1}{2 \\sqrt{2}}\\right) \\text{$\\sigma\n",
    "   $y}\\otimes \\text{$\\sigma $i}\\otimes \\text{$\\sigma $y}\\\\\n",
    "   -\\frac{\\text{$\\sigma $y}\\otimes \\text{$\\sigma $y}\\otimes \\text{$\\sigma $i}}{4}+\\left(\\frac{1}{2\n",
    "   \\sqrt{2}}-\\frac{1}{4}\\right) \\text{$\\sigma $x}\\otimes \\text{$\\sigma $y}\\otimes \\text{$\\sigma $y}\\\\\n",
    "   +\\left(-\\frac{1}{4}-\\frac{1}{2 \\sqrt{2}}\\right) \\text{$\\sigma $y}\\otimes\n",
    "   \\text{$\\sigma $x}\\otimes \\text{$\\sigma $y}+\\left(\\frac{1}{2 \\sqrt{2}}-\\frac{1}{4}\\right) \\text{$\\sigma $y}\\otimes \\text{$\\sigma $y}\\otimes \\text{$\\sigma\n",
    "   $x}\\\\\n",
    "   +\\frac{\\text{$\\sigma $x}\\otimes \\text{$\\sigma $x}\\otimes \\text{$\\sigma $z}}{4}+\\left(\\frac{1}{2 \\sqrt{2}}-\\frac{1}{4}\\right) \\text{$\\sigma $x}\\otimes \\text{$\\sigma\n",
    "   $z}\\otimes \\text{$\\sigma $x}\\\\\n",
    "   +\\frac{\\text{$\\sigma $x}\\otimes \\text{$\\sigma $z}\\otimes \\text{$\\sigma $z}}{4}+\\left(\\frac{1}{4}+\\frac{1}{2 \\sqrt{2}}\\right) \\text{$\\sigma\n",
    "   $x}\\otimes \\text{$\\sigma $x}\\otimes \\text{$\\sigma $x}\\\\\n",
    "   -\\frac{\\text{$\\sigma $y}\\otimes \\text{$\\sigma $y}\\otimes \\text{$\\sigma $z}}{4}+\\left(\\frac{1}{2\n",
    "   \\sqrt{2}}-\\frac{1}{4}\\right) \\text{$\\sigma $y}\\otimes \\text{$\\sigma $z}\\otimes \\text{$\\sigma $y}\n",
    "$$\n",
    "\n",
    "that is, we found the desired decomposition of matrix $U$ in terms of Pauli operators. Since in VQE algorithms one usually deals with the minimization of the energy of a system, from now on we call the unitary matrix *Hamiltonian* $U \\rightarrow \\mathcal{H}$ of the system, and *energy* its mean value when evaluated on a given state $|\\psi(\\theta)\\rangle$, that is $E(\\theta) = \\langle \\mathcal{H} \\rangle_{\\theta}=\\langle \\psi(\\theta) | \\mathcal{H}|\\psi(\\theta)\\rangle$.  \n",
    "Notice that, $|\\psi(\\theta)$ is an *eigenvector* of the unitary $\\mathcal{H}$, with the energy $E(\\theta)$ being the corresponding *eigenvalue*. Our task is then to find the lowest eigenvalue of $\\mathcal{H}$. \n",
    "\n",
    "### Variational Quantum Eigensolver\n",
    "\n",
    "The idea behind VQE, is to use a quantum computer to evaluate the mean value of the *Hamiltonian* on a trial state $|\\psi(\\theta)\\rangle$ parametrized by $\\theta$, and then slowly change this parameter in order to find lower and lower values for the energy $E(\\theta)$.  \n",
    "\n",
    "  \n",
    "\n",
    "***Measurements in quantum computers generally happens along the $Z$ basis (known as *computational basis*), which means that we can only measure eigevectors and eigenvalues of $Z$.*** In order to measure other different observables, we need to change basis, and this can be done by introducing some gate before the measurement happens. \n",
    "\n",
    "### Change of basis\n",
    "\n",
    "Noticing that:\n",
    "$$\n",
    "X=HZH\\quad Y=(HS^\\dagger)^\\dagger Z(HS^\\dagger)\n",
    "$$\n",
    "we can measure along the X basis by introducing an Hadamard $H$ gate before the measurement. Same happens with $Y$, by using a combination of Hadamard and Phase gates $HS^\\dagger$.  \n",
    "\n",
    "However, in our case we wish to measure two-qubits observables. \n",
    "\n",
    "#### Observable $Z_1 Z_2 Z_3$\n",
    "  \n",
    "The operator $Z_1 Z_2 Z_3$ acts like: \n",
    "$$\n",
    "Z_{1}Z_{2}Z_{3}\\left|000\\right\\rangle \t=+1\\\\\n",
    "Z_{1}Z_{2}Z_{3}\\left|011\\right\\rangle \t=+1\\\\\n",
    "Z_{1}Z_{2}Z_{3}\\left|101\\right\\rangle \t=+1\\\\\n",
    "Z_{1}Z_{2}Z_{3}\\left|110\\right\\rangle \t=+1\\\\\n",
    "Z_{1}Z_{2}Z_{3}\\left|001\\right\\rangle \t=-1\\\\\n",
    "Z_{1}Z_{2}Z_{3}\\left|010\\right\\rangle \t=-1\\\\\n",
    "Z_{1}Z_{2}Z_{3}\\left|100\\right\\rangle \t=-1\\\\\n",
    "Z_{1}Z_{2}Z_{3}\\left|111\\right\\rangle \t=-1\\\\\n",
    "$$\n",
    "In calculation, we firstly checks whether the first two qubits are in the same state (both $0$ or both $1$), in which case it has eigenvalue $1$, otherwise it has eigenvalue $-1$. A similar action can be implemented using a CNOT, in fact this gates loads on the second qubit the binary sum of the two qubits $\\text{CNOT}|q_1\\rangle|q_2\\rangle=|q_1\\rangle|q_1\\oplus q_2\\rangle$. Next, we will perform the same calculation on the second and third bits.\n",
    "\n",
    "In fact, if\n",
    "* $q_1 = q_2$ (qubits are in the same state), it holds that $|q_1\\oplus q_2\\rangle = |0\\rangle$ and a measurement of the second qubit in the computational basis ($Z$ basis) yields result $+1$, \n",
    "* $q_1\\neq q_2$, then $|q_1\\oplus q_2\\rangle=|1\\rangle$ and a measurement would yield result $-1$, as desired.\n",
    "Then, for the second and third qubits, we perform the same operations.\n",
    "\n",
    "> Remember that, given a general qubit state $|\\psi\\rangle=\\alpha |0\\rangle + \\beta |1\\rangle$, it holds $\\langle Z \\rangle = \\langle \\psi | Z | \\psi \\rangle = |\\alpha|^2-|\\beta|^2$.\n",
    "\n",
    "In this way, we can measure the observable $Z_1 Z_2 Z_3$ by introducing two CNOT gates and then measuring the third qubit in the usual $Z$ basis, as reported in the following circuit:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import deepquantum as dq\n",
    "import numpy as np\n",
    "import cma\n",
    "from cma.fitness_functions import elli  # cannot be an instance method\n",
    "from cma.optimization_tools import EvalParallel2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-05-30T07:35:03.809677Z",
     "start_time": "2023-05-30T07:35:03.127444Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Measurement in the ZZZ basis\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 454.719x367.889 with 1 Axes>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc = dq.QubitCircuit(3)\n",
    "\n",
    "qc.barrier()\n",
    "\n",
    "qc.cx(0,1)\n",
    "qc.cx(1,2)\n",
    "qc()\n",
    "\n",
    "counts = qc.measure(wires=2)\n",
    "\n",
    "print(\"Measurement in the ZZZ basis\")\n",
    "qc.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'0': 1024}\n"
     ]
    }
   ],
   "source": [
    "print(counts)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Other observables can be reduced to a measurement of $Z_1 Z_2 Z_3$ by means of appropriate unitary transofmations (change of basis)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Observable $X_1 X_2 X_3$\n",
    "\n",
    "Using $X=HZH$ and the CNOT gates, we have that the measurement in the $X_1 X_2 X_3$ can be achieved using the following circuit:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-05-30T07:35:06.930639Z",
     "start_time": "2023-05-30T07:35:06.862966Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Measurement in the XXX basis\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 538.33x367.889 with 1 Axes>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc = dq.QubitCircuit(3)\n",
    "qc.barrier()\n",
    "\n",
    "qc.h(0)\n",
    "qc.h(1)\n",
    "qc.h(2)\n",
    "\n",
    "qc.cx(0,1)\n",
    "qc.cx(1,2)\n",
    "\n",
    "qc.measure(wires=2)\n",
    "\n",
    "print(\"Measurement in the XXX basis\")\n",
    "qc.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Observable $Y_1 Y_2 Y_3$\n",
    "\n",
    "Using $Y=(HS^\\dagger)^\\dagger Z(HS^\\dagger)$ and the CNOT gates, we have that the measurement in the $Y_1 Y_2 Y_3$ can be achieved using the following circuit:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-05-30T07:35:10.089460Z",
     "start_time": "2023-05-30T07:35:09.981944Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Measurement in the YYY basis\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 621.941x367.889 with 1 Axes>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc = dq.QubitCircuit(3)\n",
    "qc.barrier()\n",
    "\n",
    "qc.sdg(0)\n",
    "qc.sdg(1)\n",
    "qc.sdg(2)\n",
    "\n",
    "qc.h(0)\n",
    "qc.h(1)\n",
    "qc.h(2)\n",
    "\n",
    "qc.cx(0,1)\n",
    "qc.cx(1,2)\n",
    "qc.measure(wires=2)\n",
    "print(\"Measurement in the YYY basis\")\n",
    "qc.draw(output=\"mpl\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## VQE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now proceed implementing the VQE architecure, which works as follows:\n",
    "* choose an ansatz for a trial state $|\\psi(\\theta)\\rangle$, parametrized by the parameter $\\theta$\n",
    "* use quantum circuits to estimate the mean values\n",
    "* compute the energy $E(\\theta)=\\langle \\mathcal{H} \\rangle_\\theta$\n",
    "* change $\\theta$ in order to reach a lower energy\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "VQE can be used for many things. The most popular application of VQE is for the quantum chemistry problem, as in this paper (https://arxiv.org/abs/1701.02691), where they are trying to find the ground state wavefunction of a molecular Hamiltonian (i.e. the VQE is trying to find the eigenvector with the smallest eigenvalue/energy). Here you can see that they suggest a unitary coupled cluster (UCC) ansatz. The reason they choose UCC is because it is well-known that coupled cluster already gives a very good approximation of the ground state wavefunction, in fact it is the basis for what chemists call the \"gold standard of quantum chemistry\".\n",
    "\n",
    "Remember VQE is a heuristic. The better the ansatz that you start with, the more likely your VQE will perform well. We can use intuition, or trial-and-error, or just use any knowledge you have of the problem to come up with something that you believe will work well (as in the case of using a coupled cluster ansatz for the problem where coupled cluster is already considered \"the gold standard\" for people solving the problem on classical computers).\n",
    "\n",
    "There is no general recipe for how to come up with the ansatz for VQE which will universally work well on every VQE problem, and that is why VQE is called a \"heuristic\"."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Functions declaration"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Builds the trial state using the ansatz:\n",
    "\n",
    "Arguments\n",
    "* qc: is a QubitCircuit object from deepquantum\n",
    "* theta (real): is the parameter parametrizing the trial state\n",
    "\n",
    "Return\n",
    "- qc: returns the input quantum circuit added with the gates creating the trial state\n",
    "    \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def ansatz(qc, theta):\n",
    "    # qc = dq.QubitCircuit(3)\n",
    "    \n",
    "    [theta_1,theta_2,theta_3,theta_4,theta_5,theta_6,theta_7,theta_8,theta_9] = theta\n",
    "    \n",
    "    qc.rx(0,theta_1)\n",
    "    qc.rx(1,theta_2)\n",
    "    qc.rx(2,theta_3)\n",
    "    \n",
    "    qc.rz(0,theta_4)\n",
    "    qc.rz(1,theta_5)\n",
    "    qc.rz(2,theta_6)\n",
    "    \n",
    "    qc.barrier()\n",
    "    \n",
    "    qc.rxx([0,1],theta_7)\n",
    "    qc.rxx([0,2],theta_8)\n",
    "    \n",
    "    qc.barrier()\n",
    "    \n",
    "    qc.rxx([1,2],theta_9)\n",
    "    \n",
    "    return qc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 705.552x284.278 with 1 Axes>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc = dq.QubitCircuit(3)\n",
    "theta = np.random.random(9)\n",
    "qc = ansatz(qc,theta)\n",
    "qc.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In general, we need a total of 64 different circuits for measurement."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Implements the quantum measurements in different 64 basis:\n",
    "\n",
    "Arguments\n",
    "* qc: is a QubitCircuit object from deepquantum\n",
    "* op (str): is a string with possible values.\n",
    "\n",
    "Return\n",
    "- qc: returns the input quantum circuit added with the appropriate gates to measure in the selected basis.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(11, 3)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "op = 'XXXYYZZZIII'\n",
    "len(op), op.count('I')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def measurements(qc, op, shots):\n",
    "    \n",
    "    if op.count('I') == 0:\n",
    "        for i in range(len(op)):\n",
    "            # Change of basis, since X = HZH\n",
    "            if op[i] == \"X\":\n",
    "                qc.h(i)\n",
    "                \n",
    "            # Change of basis, since Y = (HS†)Z(HS†)\n",
    "            elif op[i] == \"Y\":\n",
    "                qc.sdg(i)\n",
    "                qc.h(i)\n",
    "        \n",
    "        # CNOT used to measure ZZ operator\n",
    "        for i in range(len(op)-1):\n",
    "            qc.cx(i,i+1)\n",
    "            \n",
    "        qc()\n",
    "        \n",
    "        counts =  qc.measure(shots=shots, wires=len(op)-1)\n",
    "            \n",
    "    elif op.count('I') == 1:\n",
    "        \n",
    "        index = []\n",
    "        \n",
    "        for i in range(len(op)):\n",
    "            if op[i] != 'I':\n",
    "                \n",
    "                index.append(i)\n",
    "                \n",
    "                if op[i] == 'X':\n",
    "                    qc.h(i)\n",
    "                elif op[i] == 'Y':\n",
    "                    qc.sdg(i)\n",
    "                    qc.h(i)\n",
    "                    \n",
    "        qc.cx(index[0],index[1])\n",
    "        \n",
    "        qc()\n",
    "        counts =  qc.measure(shots=shots, wires=index[1])\n",
    "    \n",
    "    elif op.count('I') == 2:\n",
    "        for i in range(len(op)):\n",
    "            if op[i] != 'I':\n",
    "                if op[i] == 'X':\n",
    "                    qc.h(i)\n",
    "                elif op[i] == 'Y':\n",
    "                    qc.sdg(i)\n",
    "                    qc.h(i)\n",
    "                    \n",
    "                qc()\n",
    "                counts =  qc.measure(shots=shots, wires=i)\n",
    "    \n",
    "    else:\n",
    "        counts = {'0': shots}\n",
    "    \n",
    "    \n",
    "        # Check the results, and evaluate the mean value dividing by the number of shots\n",
    "    if len(counts) == 1: \n",
    "        try:\n",
    "            counts['0']\n",
    "            mean_val = 1\n",
    "        except:\n",
    "            mean_val = -1\n",
    "    else:\n",
    "        # Evaluates the mean value of Z operator, as the difference in the number of \n",
    "        # 0s and 1s in the measurement outcomes\n",
    "        mean_val = (counts['0']-counts['1'])/shots\n",
    "        \n",
    "    return mean_val\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Evaulates the Energy of the trial state using the mean values of the operators.\n",
    "\n",
    "Arguments\n",
    "* params (dict): is an dictionary containing the mean values form the measurements of the operators\n",
    "\n",
    "Return\n",
    "- en (real): energy of the system"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-05-30T07:35:24.112471Z",
     "start_time": "2023-05-30T07:35:23.286373Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'XXX': 0.6035533905932737,\n",
       " 'XXZ': 0.25,\n",
       " 'XXI': 0.25,\n",
       " 'XYY': 0.10355339059327379,\n",
       " 'XZX': 0.10355339059327379,\n",
       " 'XZZ': 0.25,\n",
       " 'XZI': -0.25,\n",
       " 'XIX': 0.6035533905932737,\n",
       " 'XIZ': -0.25,\n",
       " 'XII': 0.25,\n",
       " 'YXY': -0.6035533905932737,\n",
       " 'YYX': 0.10355339059327379,\n",
       " 'YYZ': -0.25,\n",
       " 'YYI': -0.25,\n",
       " 'YZY': 0.10355339059327379,\n",
       " 'YIY': 0.6035533905932737,\n",
       " 'ZZZ': 0.25,\n",
       " 'ZZI': -0.25,\n",
       " 'ZIZ': -0.25,\n",
       " 'ZII': -0.25,\n",
       " 'IZZ': 0.25,\n",
       " 'IZI': -0.25,\n",
       " 'IIZ': -0.25,\n",
       " 'III': 0.75}"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from numpy import kron\n",
    "\n",
    "def HS(M1, M2):\n",
    "    \"\"\"Hilbert-Schmidt-Product of two matrices M1, M2\"\"\"\n",
    "    return (np.dot(M1.conjugate().transpose(), M2)).trace()\n",
    "\n",
    "def decompose(H):\n",
    "    \"\"\"Decompose Hermitian matrix H into Pauli matrices\"\"\"\n",
    "    \n",
    "    sx = np.array([[0, 1],  [ 1, 0]], dtype=np.complex128)\n",
    "    sy = np.array([[0, -1j],[1j, 0]], dtype=np.complex128)\n",
    "    sz = np.array([[1, 0],  [0, -1]], dtype=np.complex128)\n",
    "    id = np.array([[1, 0],  [ 0, 1]], dtype=np.complex128)\n",
    "    S = [sx, sy, sz, id]\n",
    "    labels = ['X', 'Y', 'Z', 'I']\n",
    "    \n",
    "    decomposed_H = {}\n",
    "    for i in range(4):\n",
    "        for j in range(4):\n",
    "            for k in range(4):\n",
    "                \n",
    "                label = labels[i] + labels[j] + labels[k]\n",
    "                a_ij = 0.125 * HS( kron(kron(S[i], S[j]), S[k]), H)\n",
    "                \n",
    "                if abs(a_ij) > 1e-6:\n",
    "                    decomposed_H[label] = a_ij.real\n",
    "                                \n",
    "                    # print(f'{label:<10} {a_ij}')\n",
    "    return decomposed_H\n",
    "\n",
    "\n",
    "A, delta = 0,1\n",
    "\n",
    "H = np.array([  [0, A * np.sqrt(2), A * np.sqrt(2), 0, 0, 0, 1, 1],\n",
    "                [A * np.sqrt(2), 0, 0, 0, np.sqrt(2), 0, 0, 0],\n",
    "                [A * np.sqrt(2), 0, 0, 0, 0, np.sqrt(2), 0, 0],\n",
    "                [0, 0, 0, 2 * delta, 0, 0, 1, 1],\n",
    "                [0, np.sqrt(2), 0, 0, delta, 0, A, 0],\n",
    "                [0, 0, np.sqrt(2), 0, 0, delta, 0, A],\n",
    "                [1, 0, 0, 1, A, 0, delta, 0],\n",
    "                [1, 0, 0, 1, 0, A, 0, delta]])\n",
    "\n",
    "# A = 0, delta = 1\n",
    "decomposed_H = decompose(H)\n",
    "decomposed_H"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-05-30T07:35:26.130657Z",
     "start_time": "2023-05-30T07:35:26.126543Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "def hamiltonian(vqe_res):\n",
    "    en = 0.\n",
    "    for key in decomposed_H.keys(): \n",
    "        en += vqe_res[key] * decomposed_H[key]\n",
    "    return en"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Executes the VQE algorithm. \n",
    "Creates and executes three quantum circuits, then evaluates the energy.\n",
    "\n",
    "Arguments\n",
    "* theta (real): is the parameters parametrizing the trial state\n",
    "\n",
    "Return\n",
    "- energy (real): the energy of the system\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(123)\n",
    "theta = np.random.random(9)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "24 {'XXX': 0.08, 'XXZ': -0.34, 'XXI': 0.2, 'XYY': 0.52, 'XZX': -0.44, 'XZZ': -0.14, 'XZI': 0.04, 'XIX': 0.12, 'XIZ': 0.06, 'XII': 0.44, 'YXY': 0.26, 'YYX': 0.28, 'YYZ': 0.14, 'YYI': 0.32, 'YZY': 0.02, 'YIY': 0.34, 'ZZZ': 0.76, 'ZZI': 0.44, 'ZIZ': 0.28, 'ZII': 0.3, 'IZZ': 0.32, 'IZI': 0.44, 'IIZ': 0.5, 'III': 1}\n",
      "0.6383452377915606\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 789.163x284.278 with 1 Axes>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "vqe_res = dict()\n",
    "shots = 10 ** 2\n",
    "\n",
    "for op in decomposed_H.keys():\n",
    "\n",
    "    qc = dq.QubitCircuit(3)\n",
    "\n",
    "    qc = ansatz(qc, theta)\n",
    "    qc.barrier()    \n",
    "    \n",
    "    vqe_res[op] = measurements(qc,op,shots)\n",
    "    \n",
    "print(len(vqe_res),vqe_res)\n",
    "energy = hamiltonian(vqe_res)\n",
    "print(energy.real)\n",
    "qc.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-05-30T07:35:28.840731Z",
     "start_time": "2023-05-30T07:35:28.836825Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "def vqe_step(theta):\n",
    "    \n",
    "    # Number of executions for each quantum circuit\n",
    "    shots = 2**10\n",
    "    \n",
    "    vqe_res = dict()\n",
    "    # qc_list = dict()\n",
    "    \n",
    "    for op in decomposed_H.keys():\n",
    "        \n",
    "        qc = dq.QubitCircuit(3)\n",
    "\n",
    "        # Implementation of the ansatz\n",
    "        qc = ansatz(qc, theta)\n",
    "\n",
    "        # Just for plotting purposes\n",
    "        qc.barrier()\n",
    "\n",
    "        # Measurements in the appropriate basis are implemented\n",
    "        \n",
    "        # Get the measurements results            \n",
    "            \n",
    "        vqe_res[op] = measurements(qc, op, shots)\n",
    "        # qc_list[op] = qc\n",
    "        \n",
    "    energy = hamiltonian(vqe_res)\n",
    "    # print(theta, abs(energy + 1.23607))\n",
    "    return energy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's try if it all works properly:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-05-30T07:35:32.086275Z",
     "start_time": "2023-05-30T07:35:31.822782Z"
    },
    "scrolled": true,
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.2726364859089031"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Set the value of theta\n",
    "theta = np.random.random(9)\n",
    "\n",
    "# Run the VQE step to evaluate the energy (eigenvalue of the Hamiltonian) of the state with given theta\n",
    "energy = vqe_step(theta)\n",
    "energy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Our aim is to find a value for the parameter that yields the lowest possible energy, and that is the desired lowest eigenvalue for the Task.  \n",
    "\n",
    "\n",
    "##### Using an optimizator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "from cma.fitness_functions import elli  # cannot be an instance method\n",
    "from cma.optimization_tools import EvalParallel2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "# cma.s.pprint(cma.CMAOptions())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(15_w,30)-aCMA-ES (mu_w=8.6,w_1=20%) in dimension 9 (seed=123, Fri Aug 18 10:39:16 2023)\n",
      "Iterat #Fevals   function value  axis ratio  sigma  min&max std  t[m:s]\n",
      "    1     30 -9.594356643026125e-02 1.0e+00 5.07e-01  5e-01  5e-01 0:02.7\n",
      "    2     60 -7.467683930865432e-02 1.3e+00 4.53e-01  4e-01  5e-01 0:05.4\n",
      "    3     90 -2.002885297163135e-01 1.5e+00 4.39e-01  4e-01  5e-01 0:08.1\n",
      "    5    150 -3.534934298315673e-01 2.0e+00 3.86e-01  3e-01  5e-01 0:13.4\n",
      "    7    210 -7.599526578160625e-01 2.8e+00 4.73e-01  3e-01  6e-01 0:18.8\n",
      "    9    270 -5.748162420121394e-01 3.7e+00 5.03e-01  3e-01  6e-01 0:24.2\n",
      "   12    360 -8.198198848737837e-01 3.3e+00 4.87e-01  3e-01  6e-01 0:32.3\n",
      "   15    450 -8.810404540519903e-01 2.8e+00 5.21e-01  3e-01  5e-01 0:40.4\n",
      "   18    540 -9.266132296783285e-01 3.0e+00 5.23e-01  3e-01  5e-01 0:48.6\n",
      "   22    660 -9.904918314805076e-01 3.4e+00 3.89e-01  2e-01  4e-01 0:59.6\n",
      "   26    780 -1.057466650914257e+00 3.5e+00 3.06e-01  2e-01  3e-01 1:10.4\n",
      "   31    930 -1.051113040900184e+00 4.3e+00 2.74e-01  1e-01  2e-01 1:24.0\n",
      "   36   1080 -1.096173720220234e+00 5.0e+00 3.49e-01  1e-01  3e-01 1:37.5\n",
      "   41   1230 -1.164064119887856e+00 5.1e+00 3.59e-01  1e-01  2e-01 1:51.0\n",
      "   47   1410 -1.131552550358279e+00 5.7e+00 3.07e-01  9e-02  2e-01 2:07.4\n",
      "   50   1500 -1.165612739455851e+00 6.4e+00 2.69e-01  8e-02  2e-01 2:15.6\n",
      "   56   1680 -1.172691584515938e+00 7.3e+00 1.85e-01  5e-02  1e-01 2:31.9\n",
      "   63   1890 -1.186502263835988e+00 7.4e+00 1.57e-01  4e-02  1e-01 2:50.6\n",
      "   70   2100 -1.156465780132003e+00 8.0e+00 1.56e-01  3e-02  1e-01 3:09.7\n",
      "   78   2340 -1.189429485206162e+00 8.1e+00 2.19e-01  4e-02  1e-01 3:30.9\n",
      "   86   2580 -1.194156653598316e+00 7.9e+00 2.03e-01  4e-02  1e-01 3:52.3\n",
      "   94   2820 -1.163457361739848e+00 7.9e+00 3.72e-01  7e-02  2e-01 4:13.9\n",
      "  100   3000 -1.151929978432127e+00 8.5e+00 3.87e-01  7e-02  2e-01 4:30.1\n",
      "termination on maxiter=100\n",
      "final/bestever f-value = -1.151930e+00 -1.218753e+00 after 3000/2620 evaluations\n",
      "incumbent solution: [-1.56952952 -1.53159239  0.31615041 -0.2036287   1.12366368 -0.6312495\n",
      " -0.01311604 -1.60711471 ...]\n",
      "std deviations: [0.10205438 0.07430578 0.08920904 0.07071721 0.10064357 0.22390553\n",
      " 0.13013836 0.07691235 ...]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "CMAEvolutionStrategyResult(xbest=array([-1.63938481, -1.55904436,  0.38170912, -0.1314816 ,  1.14620517,\n",
       "       -0.39713635, -0.17858467, -1.43375697, -1.22019224]), fbest=-1.218752641392276, evals_best=2620, evaluations=3000, iterations=100, xfavorite=array([-1.56952952, -1.53159239,  0.31615041, -0.2036287 ,  1.12366368,\n",
       "       -0.6312495 , -0.01311604, -1.60711471, -1.30194628]), stds=array([0.10205438, 0.07430578, 0.08920904, 0.07071721, 0.10064357,\n",
       "       0.22390553, 0.13013836, 0.07691235, 0.12551574]), stop={'maxiter': 100})"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "options = {'seed':123, 'popsize':30, 'maxiter':100, 'verb_disp': 50}\n",
    "\n",
    "es = cma.CMAEvolutionStrategy(9 * [0], .6, options)\n",
    "# with EvalParallel2(elli, es.popsize + 1) as eval_all:\n",
    "#     while not es.stop():\n",
    "#         solutions = es.ask()\n",
    "#         # print(len(solutions))\n",
    "#         es.tell(solutions, [vqe_step(x) for x in solutions])\n",
    "#         es.manage_plateaus()\n",
    "#         es.logger.add()  # write data to disc to be plotted\n",
    "#         es.disp()\n",
    "        \n",
    "\n",
    "while not es.stop():\n",
    "    solutions = es.ask()\n",
    "    es.tell(solutions, [vqe_step(x) for x in solutions])\n",
    "    # es.manage_plateaus()\n",
    "    es.logger.add()  # write data to disc to be plotted\n",
    "    es.disp()\n",
    "        \n",
    "es.result_pretty()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-1.218752641392276\n"
     ]
    }
   ],
   "source": [
    "print(es.result.fbest)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<cma.logger.CMADataLogger at 0x1775e1110>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cma.plot()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
